37093 has 6 divisors (see below), whose sum is σ = 43206. Its totient is φ = 31752.

The previous prime is 37087. The next prime is 37097. The reversal of 37093 is 39073.

It can be written as a sum of positive squares in only one way, i.e., 33124 + 3969 = 182^2 + 63^2 .

It is not a de Polignac number, because 37093 - 2⁵ = 37061 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 330 + ... + 427.

It is an arithmetic number, because the mean of its divisors is an integer number (7201).

2³⁷⁰⁹³ is an apocalyptic number.

It is an amenable number.

37093 is a deficient number, since it is larger than the sum of its proper divisors (6113).

37093 is an equidigital number, since it uses as much as digits as its factorization.

37093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 567, while the sum is 22.

The square root of 37093 is about 192.5954308908. The cubic root of 37093 is about 33.3501137733.

The spelling of 37093 in words is "thirty-seven thousand, ninety-three".